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使用附加算法Q-COUPLE的一种改进方法对有限差分扩散问题进行精确的电荷耦合计算。

Precise charge-coupling calculations for finite difference diffusion problems using a modification of the add-on algorithm Q-COUPLE.

作者信息

Dibdin G H

机构信息

MRC Dental Group, Dental School, Bristol, UK.

出版信息

Comput Appl Biosci. 1991 Apr;7(2):261-3. doi: 10.1093/bioinformatics/7.2.261.

DOI:10.1093/bioinformatics/7.2.261
PMID:2059853
Abstract

This note describes a minor modification to the recently published algorithm 'Q-COUPLE' designed for adding charge-charge interactions between diffusing species to time-dependent one-dimensional finite difference diffusion calculations. The original proposal concerned a simple way of doing this for Crank-Nicolson central time-difference schemes, and gave useful, but only approximate, agreement with theory in tests where the charge-coupling could also be calculated analytically. The new, slightly modified algorithm, when used with explicit (forward time-difference) modelling, gave analytically exact results for the charge interaction part of a similar trial calculation.

摘要

本笔记描述了对最近发表的算法“Q-COUPLE”的一个小修改,该算法旨在将扩散物种之间的电荷-电荷相互作用添加到与时间相关的一维有限差分扩散计算中。最初的提议涉及一种在克兰克-尼科尔森中心时间差分格式中实现此目的的简单方法,并且在电荷耦合也可以解析计算的测试中,与理论给出了有用但只是近似的一致性。新的、略有修改的算法,在与显式(向前时间差分)建模一起使用时,对于类似试验计算的电荷相互作用部分给出了解析精确结果。

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